This is the second “research” thread of the Polymath15 project to upper bound the de Bruijn-Newman constant, continuing this previous thread. Discussion of the project of a non-research nature can continue for now in the existing proposal thread. Progress will be summarised at this Polymath wiki page. We now have the following proposition (see […]

read more

Academics / Mathematics : Terence Tao's Blog

A basic object of study in multiplicative number theory are the arithmetic functions: functions from the natural numbers to the complex numbers. Some fundamental examples of such functions include The constant function ; The Kroneck...

Academics / Mathematics : Terence Tao's Blog

This is the seventh thread for the Polymath8b project to obtain new bounds for the quantity either for small values of (in particular ) or asymptotically as. The previous thread may be found here. The currently best known bounds on ...

Academics / Mathematics : Terence Tao's Blog

In Notes 2, the Riemann zeta function (and more generally, the Dirichlet -functions ) were extended meromorphically into the region in and to the right of the critical strip. This is a sufficient amount of meromorphic continuation f...

Academics / Mathematics : Terence Tao's Blog

We return to the study of the Riemann zeta function, focusing now on the task of upper bounding the size of this function within the critical strip; as seen in Exercise 43 of Notes 2, such upper bounds can lead to zero-free regions ...

Academics / Mathematics : Terence Tao's Blog

This is the first official “research” thread of the Polymath15 project to upper bound the de Bruijn-Newman constant. Discussion of the project of a non-research nature can continue for now in the existing proposal thread. Progress w...

Copyright © 2016 Regator, LLC